Question

You begin with $25 in a savings account and $50 in a checking account each week you deposit five dollars into savings and $10 into checking after how many weeks is the amount inchecking twice the amount in savings

Answer 1

The first week.
The first week there is 30 dollars in the saving account and 60 dollars in the checking account.

Answer 2

Amount of money in savings account after x weeks: 25+5x
Amount of money in checking account after x weeks: 50+10x

We are trying to find when 50+10x=25+2(5x)

Now all we need to do is solve.

50+10x=2(25+5x)
50+10x=50+10x        distribute
both sides are are equal, therefore every week the amount in checking is twice the amount in savings.